%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV555-1.007 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:56 AM UTC 2026 % Result : Unsatisfiable 1.72s 1.91s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV555-1.007 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:45:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/1.91 % SZS status Unsatisfiable % 1.72/1.91 % SZS output start Proof % 1.72/1.93 ( % 1.72/1.93 (declare-sort $$unsorted 0) % 1.72/1.93 (declare-const tptp.sk (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.93 (declare-const tptp.a_56 $$unsorted) % 1.72/1.93 (declare-const tptp.i7 $$unsorted) % 1.72/1.93 (declare-const tptp.e_55 $$unsorted) % 1.72/1.93 (declare-const tptp.a_54 $$unsorted) % 1.72/1.93 (declare-const tptp.e_53 $$unsorted) % 1.72/1.93 (declare-const tptp.a_52 $$unsorted) % 1.72/1.93 (declare-const tptp.i6 $$unsorted) % 1.72/1.93 (declare-const tptp.e_51 $$unsorted) % 1.72/1.93 (declare-const tptp.i2 $$unsorted) % 1.72/1.93 (declare-const tptp.a_48 $$unsorted) % 1.72/1.93 (declare-const tptp.a_34 $$unsorted) % 1.72/1.93 (declare-const tptp.a2 $$unsorted) % 1.72/1.93 (declare-const tptp.e_60 $$unsorted) % 1.72/1.93 (declare-const tptp.a_46 $$unsorted) % 1.72/1.93 (declare-const tptp.e_33 $$unsorted) % 1.72/1.93 (declare-const tptp.e_37 $$unsorted) % 1.72/1.93 (declare-const tptp.a_58 $$unsorted) % 1.72/1.93 (declare-const tptp.a_32 $$unsorted) % 1.72/1.93 (declare-const tptp.a_36 $$unsorted) % 1.72/1.93 (declare-const tptp.a1 $$unsorted) % 1.72/1.93 (declare-const tptp.i4 $$unsorted) % 1.72/1.93 (declare-const tptp.e_57 $$unsorted) % 1.72/1.93 (declare-const tptp.e_31 $$unsorted) % 1.72/1.93 (declare-const tptp.a_44 $$unsorted) % 1.72/1.93 (declare-const tptp.i1 $$unsorted) % 1.72/1.93 (declare-const tptp.e_43 $$unsorted) % 1.72/1.93 (declare-const tptp.e_35 $$unsorted) % 1.72/1.93 (declare-const tptp.a_38 $$unsorted) % 1.72/1.93 (declare-const tptp.e_39 $$unsorted) % 1.72/1.93 (declare-const tptp.store (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.93 (declare-const tptp.i3 $$unsorted) % 1.72/1.93 (declare-const tptp.select (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.93 (declare-const tptp.a_40 $$unsorted) % 1.72/1.93 (declare-const tptp.e_41 $$unsorted) % 1.72/1.93 (declare-const tptp.a_42 $$unsorted) % 1.72/1.93 (declare-const tptp.i_59 $$unsorted) % 1.72/1.93 (declare-const tptp.e_45 $$unsorted) % 1.72/1.93 (declare-const tptp.e_47 $$unsorted) % 1.72/1.93 (declare-const tptp.e_61 $$unsorted) % 1.72/1.93 (declare-const tptp.i5 $$unsorted) % 1.72/1.93 (declare-const tptp.e_49 $$unsorted) % 1.72/1.93 (declare-const tptp.a_50 $$unsorted) % 1.72/1.93 (define @t1 () (@var "E" $$unsorted)) % 1.72/1.93 (define @t2 () (@var "I" $$unsorted)) % 1.72/1.93 (define @t3 () (@var "A" $$unsorted)) % 1.72/1.93 (define @t4 () (tptp.store @t3 @t2 @t1)) % 1.72/1.93 (define @t5 () (tptp.select @t4 @t2)) % 1.72/1.93 (define @t6 () (@list @t3 @t2 @t1)) % 1.72/1.93 (define @t7 () (forall @t6 (= @t5 @t1))) % 1.72/1.93 (define @t8 () (@var "J" $$unsorted)) % 1.72/1.93 (define @t9 () (forall (@list @t2 @t8 @t3 @t1) (or (= @t2 @t8) (= (tptp.select @t4 @t8) (tptp.select @t3 @t8))))) % 1.72/1.93 (define @t10 () (tptp.store tptp.a1 tptp.i1 tptp.e_31)) % 1.72/1.93 (define @t11 () (= tptp.a_32 @t10)) % 1.72/1.93 (define @t12 () (tptp.store tptp.a2 tptp.i1 tptp.e_33)) % 1.72/1.93 (define @t13 () (= tptp.a_34 @t12)) % 1.72/1.93 (define @t14 () (tptp.store tptp.a_32 tptp.i2 tptp.e_35)) % 1.72/1.93 (define @t15 () (= tptp.a_36 @t14)) % 1.72/1.93 (define @t16 () (tptp.store tptp.a_34 tptp.i2 tptp.e_37)) % 1.72/1.93 (define @t17 () (= tptp.a_38 @t16)) % 1.72/1.93 (define @t18 () (tptp.store tptp.a_36 tptp.i3 tptp.e_39)) % 1.72/1.93 (define @t19 () (= tptp.a_40 @t18)) % 1.72/1.93 (define @t20 () (tptp.store tptp.a_38 tptp.i3 tptp.e_41)) % 1.72/1.93 (define @t21 () (= tptp.a_42 @t20)) % 1.72/1.93 (define @t22 () (tptp.store tptp.a_40 tptp.i4 tptp.e_43)) % 1.72/1.93 (define @t23 () (= tptp.a_44 @t22)) % 1.72/1.93 (define @t24 () (tptp.store tptp.a_42 tptp.i4 tptp.e_45)) % 1.72/1.93 (define @t25 () (= tptp.a_46 @t24)) % 1.72/1.93 (define @t26 () (tptp.store tptp.a_44 tptp.i5 tptp.e_47)) % 1.72/1.93 (define @t27 () (= tptp.a_48 @t26)) % 1.72/1.93 (define @t28 () (tptp.store tptp.a_46 tptp.i5 tptp.e_49)) % 1.72/1.93 (define @t29 () (= tptp.a_50 @t28)) % 1.72/1.93 (define @t30 () (tptp.store tptp.a_48 tptp.i6 tptp.e_51)) % 1.72/1.93 (define @t31 () (= tptp.a_52 @t30)) % 1.72/1.93 (define @t32 () (tptp.store tptp.a_50 tptp.i6 tptp.e_53)) % 1.72/1.93 (define @t33 () (= tptp.a_54 @t32)) % 1.72/1.93 (define @t34 () (tptp.store tptp.a_52 tptp.i7 tptp.e_55)) % 1.72/1.93 (define @t35 () (= tptp.a_56 @t34)) % 1.72/1.93 (define @t36 () (tptp.store tptp.a_54 tptp.i7 tptp.e_57)) % 1.72/1.93 (define @t37 () (= tptp.a_58 @t36)) % 1.72/1.93 (define @t38 () (tptp.select tptp.a2 tptp.i1)) % 1.72/1.93 (define @t39 () (= tptp.e_31 @t38)) % 1.72/1.93 (define @t40 () (tptp.select tptp.a1 tptp.i1)) % 1.72/1.93 (define @t41 () (= tptp.e_33 @t40)) % 1.72/1.93 (define @t42 () (tptp.select tptp.a_34 tptp.i2)) % 1.72/1.93 (define @t43 () (= tptp.e_35 @t42)) % 1.72/1.93 (define @t44 () (tptp.select tptp.a_32 tptp.i2)) % 1.72/1.93 (define @t45 () (= tptp.e_37 @t44)) % 1.72/1.93 (define @t46 () (tptp.select tptp.a_38 tptp.i3)) % 1.72/1.93 (define @t47 () (= tptp.e_39 @t46)) % 1.72/1.93 (define @t48 () (= tptp.e_41 (tptp.select tptp.a_36 tptp.i3))) % 1.72/1.93 (define @t49 () (= tptp.e_43 (tptp.select tptp.a_42 tptp.i4))) % 1.72/1.93 (define @t50 () (tptp.select tptp.a_40 tptp.i4)) % 1.72/1.93 (define @t51 () (= tptp.e_45 @t50)) % 1.72/1.93 (define @t52 () (= tptp.e_47 (tptp.select tptp.a_46 tptp.i5))) % 1.72/1.93 (define @t53 () (= tptp.e_49 (tptp.select tptp.a_44 tptp.i5))) % 1.72/1.93 (define @t54 () (= tptp.e_51 (tptp.select tptp.a_50 tptp.i6))) % 1.72/1.93 (define @t55 () (= tptp.e_53 (tptp.select tptp.a_48 tptp.i6))) % 1.72/1.93 (define @t56 () (tptp.select tptp.a_54 tptp.i7)) % 1.72/1.93 (define @t57 () (= tptp.e_55 @t56)) % 1.72/1.93 (define @t58 () (= tptp.e_57 (tptp.select tptp.a_52 tptp.i7))) % 1.72/1.93 (define @t59 () (tptp.select tptp.a1 tptp.i_59)) % 1.72/1.93 (define @t60 () (= tptp.e_60 @t59)) % 1.72/1.93 (define @t61 () (tptp.select tptp.a2 tptp.i_59)) % 1.72/1.93 (define @t62 () (= tptp.e_61 @t61)) % 1.72/1.93 (define @t63 () (= tptp.a_56 tptp.a_58)) % 1.72/1.93 (define @t64 () (= tptp.e_60 tptp.e_61)) % 1.72/1.93 (define @t65 () (not @t64)) % 1.72/1.93 (define @t66 () (tptp.select @t34 tptp.i_59)) % 1.72/1.93 (define @t67 () (tptp.select tptp.a_52 tptp.i_59)) % 1.72/1.93 (define @t68 () (= tptp.i7 tptp.i_59)) % 1.72/1.93 (define @t69 () (or @t68 (= @t66 @t67))) % 1.72/1.93 (define @t70 () (= @t67 @t66)) % 1.72/1.93 (define @t71 () (or @t68 @t70)) % 1.72/1.93 (define @t72 () (@list false)) % 1.72/1.93 (define @t73 () (@list @t9)) % 1.72/1.93 (define @t74 () (= tptp.e_55 (tptp.select @t34 tptp.i7))) % 1.72/1.93 (define @t75 () (tptp.select @t36 tptp.i7)) % 1.72/1.93 (define @t76 () (= tptp.e_57 @t75)) % 1.72/1.93 (define @t77 () (tptp.select tptp.a_54 tptp.i_59)) % 1.72/1.93 (define @t78 () (tptp.select @t36 tptp.i_59)) % 1.72/1.93 (define @t79 () (= @t78 @t77)) % 1.72/1.93 (define @t80 () (tptp.select @t32 tptp.i7)) % 1.72/1.93 (define @t81 () (tptp.select @t30 tptp.i7)) % 1.72/1.93 (define @t82 () (and @t31 @t33 @t35 @t37 @t57 @t58 @t63 @t74 @t76 @t68 @t79)) % 1.72/1.93 (define @t83 () (not @t79)) % 1.72/1.93 (define @t84 () (@list false false false false false false false false false false false)) % 1.72/1.93 (define @t85 () (tptp.select @t30 tptp.i_59)) % 1.72/1.93 (define @t86 () (tptp.select tptp.a_48 tptp.i_59)) % 1.72/1.93 (define @t87 () (= tptp.i6 tptp.i_59)) % 1.72/1.93 (define @t88 () (or @t87 (= @t85 @t86))) % 1.72/1.93 (define @t89 () (= @t86 @t85)) % 1.72/1.93 (define @t90 () (or @t87 @t89)) % 1.72/1.93 (define @t91 () (tptp.select @t32 tptp.i6)) % 1.72/1.93 (define @t92 () (= tptp.e_53 @t91)) % 1.72/1.93 (define @t93 () (tptp.select @t26 tptp.i6)) % 1.72/1.93 (define @t94 () (and @t27 @t31 @t33 @t35 @t37 @t55 @t63 @t92 @t79 @t87 @t70)) % 1.72/1.93 (define @t95 () (not @t70)) % 1.72/1.93 (define @t96 () (not @t87)) % 1.72/1.93 (define @t97 () (not @t92)) % 1.72/1.93 (define @t98 () (not @t63)) % 1.72/1.93 (define @t99 () (not @t55)) % 1.72/1.93 (define @t100 () (not @t37)) % 1.72/1.93 (define @t101 () (not @t35)) % 1.72/1.93 (define @t102 () (not @t33)) % 1.72/1.93 (define @t103 () (not @t31)) % 1.72/1.93 (define @t104 () (not @t27)) % 1.72/1.93 (define @t105 () (tptp.select @t22 tptp.i1)) % 1.72/1.93 (define @t106 () (tptp.select tptp.a_40 tptp.i1)) % 1.72/1.93 (define @t107 () (= tptp.i4 tptp.i1)) % 1.72/1.93 (define @t108 () (or @t107 (= @t105 @t106))) % 1.72/1.93 (define @t109 () (= @t106 @t105)) % 1.72/1.93 (define @t110 () (= tptp.i1 tptp.i4)) % 1.72/1.93 (define @t111 () (or @t110 @t109)) % 1.72/1.93 (define @t112 () (tptp.select @t34 tptp.i1)) % 1.72/1.93 (define @t113 () (tptp.select tptp.a_52 tptp.i1)) % 1.72/1.93 (define @t114 () (= tptp.i7 tptp.i1)) % 1.72/1.93 (define @t115 () (or @t114 (= @t112 @t113))) % 1.72/1.93 (define @t116 () (= @t113 @t112)) % 1.72/1.93 (define @t117 () (= tptp.i1 tptp.i7)) % 1.72/1.93 (define @t118 () (or @t117 @t116)) % 1.72/1.93 (define @t119 () (tptp.select @t36 tptp.i1)) % 1.72/1.93 (define @t120 () (and @t31 @t35 @t37 @t58 @t63 @t76 @t117)) % 1.72/1.93 (define @t121 () (tptp.select tptp.a_54 tptp.i1)) % 1.72/1.93 (define @t122 () (= @t119 @t121)) % 1.72/1.93 (define @t123 () (or @t114 @t122)) % 1.72/1.93 (define @t124 () (or @t117 @t122)) % 1.72/1.93 (define @t125 () (and @t31 @t33 @t35 @t37 @t57 @t58 @t63 @t74 @t76 @t117 @t116)) % 1.72/1.93 (define @t126 () (not @t116)) % 1.72/1.93 (define @t127 () (not @t74)) % 1.72/1.93 (define @t128 () (not @t57)) % 1.72/1.93 (define @t129 () (@list false false false false false false false false false false false false)) % 1.72/1.93 (define @t130 () (tptp.select @t30 tptp.i1)) % 1.72/1.93 (define @t131 () (tptp.select tptp.a_48 tptp.i1)) % 1.72/1.93 (define @t132 () (= tptp.i6 tptp.i1)) % 1.72/1.93 (define @t133 () (or @t132 (= @t130 @t131))) % 1.72/1.93 (define @t134 () (= @t131 @t130)) % 1.72/1.93 (define @t135 () (= tptp.i1 tptp.i6)) % 1.72/1.93 (define @t136 () (or @t135 @t134)) % 1.72/1.93 (define @t137 () (and @t27 @t31 @t33 @t35 @t37 @t55 @t63 @t92 @t122 @t135 @t116)) % 1.72/1.93 (define @t138 () (not @t135)) % 1.72/1.93 (define @t139 () (not @t122)) % 1.72/1.93 (define @t140 () (tptp.select @t32 tptp.i1)) % 1.72/1.93 (define @t141 () (tptp.select tptp.a_50 tptp.i1)) % 1.72/1.93 (define @t142 () (or @t132 (= @t140 @t141))) % 1.72/1.93 (define @t143 () (= @t141 @t140)) % 1.72/1.93 (define @t144 () (or @t135 @t143)) % 1.72/1.93 (define @t145 () (tptp.select @t30 tptp.i6)) % 1.72/1.93 (define @t146 () (= tptp.e_51 @t145)) % 1.72/1.93 (define @t147 () (tptp.select @t28 tptp.i6)) % 1.72/1.93 (define @t148 () (and @t27 @t29 @t31 @t33 @t54 @t55 @t146 @t92 @t135 @t134)) % 1.72/1.93 (define @t149 () (not @t134)) % 1.72/1.93 (define @t150 () (not @t146)) % 1.72/1.93 (define @t151 () (not @t54)) % 1.72/1.93 (define @t152 () (not @t29)) % 1.72/1.93 (define @t153 () (@list false false false false false false false false false false)) % 1.72/1.93 (define @t154 () (tptp.select @t26 tptp.i1)) % 1.72/1.93 (define @t155 () (tptp.select tptp.a_44 tptp.i1)) % 1.72/1.93 (define @t156 () (= tptp.i5 tptp.i1)) % 1.72/1.93 (define @t157 () (or @t156 (= @t154 @t155))) % 1.72/1.93 (define @t158 () (= @t155 @t154)) % 1.72/1.93 (define @t159 () (= tptp.i1 tptp.i5)) % 1.72/1.93 (define @t160 () (or @t159 @t158)) % 1.72/1.93 (define @t161 () (tptp.select @t28 tptp.i5)) % 1.72/1.93 (define @t162 () (= tptp.e_49 @t161)) % 1.72/1.93 (define @t163 () (tptp.select @t22 tptp.i5)) % 1.72/1.93 (define @t164 () (and @t23 @t27 @t29 @t31 @t33 @t35 @t37 @t53 @t63 @t162 @t159 @t122 @t134 @t143 @t116)) % 1.72/1.93 (define @t165 () (not @t143)) % 1.72/1.93 (define @t166 () (not @t159)) % 1.72/1.93 (define @t167 () (not @t162)) % 1.72/1.93 (define @t168 () (not @t53)) % 1.72/1.93 (define @t169 () (not @t23)) % 1.72/1.93 (define @t170 () (@list false false false false false false false false false false false false false false false false)) % 1.72/1.93 (define @t171 () (tptp.select @t28 tptp.i1)) % 1.72/1.93 (define @t172 () (tptp.select tptp.a_46 tptp.i1)) % 1.72/1.93 (define @t173 () (or @t156 (= @t171 @t172))) % 1.72/1.93 (define @t174 () (= @t172 @t171)) % 1.72/1.93 (define @t175 () (or @t159 @t174)) % 1.72/1.93 (define @t176 () (tptp.select @t26 tptp.i5)) % 1.72/1.93 (define @t177 () (= tptp.e_47 @t176)) % 1.72/1.93 (define @t178 () (tptp.select @t24 tptp.i5)) % 1.72/1.93 (define @t179 () (and @t23 @t25 @t27 @t29 @t52 @t53 @t177 @t162 @t159 @t158)) % 1.72/1.93 (define @t180 () (not @t158)) % 1.72/1.93 (define @t181 () (not @t177)) % 1.72/1.93 (define @t182 () (not @t52)) % 1.72/1.93 (define @t183 () (not @t25)) % 1.72/1.93 (define @t184 () (not @t174)) % 1.72/1.93 (define @t185 () (not @t110)) % 1.72/1.93 (define @t186 () (tptp.select @t24 tptp.i4)) % 1.72/1.93 (define @t187 () (= tptp.e_45 @t186)) % 1.72/1.93 (define @t188 () (not @t187)) % 1.72/1.93 (define @t189 () (not @t51)) % 1.72/1.93 (define @t190 () (not @t19)) % 1.72/1.93 (define @t191 () (not @t109)) % 1.72/1.93 (define @t192 () (tptp.select @t18 tptp.i4)) % 1.72/1.93 (define @t193 () (and @t19 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t51 @t63 @t187 @t122 @t110 @t158 @t134 @t143 @t116 @t191)) % 1.72/1.93 (define @t194 () (tptp.select @t26 tptp.i_59)) % 1.72/1.93 (define @t195 () (tptp.select tptp.a_44 tptp.i_59)) % 1.72/1.93 (define @t196 () (= tptp.i5 tptp.i_59)) % 1.72/1.93 (define @t197 () (or @t196 (= @t194 @t195))) % 1.72/1.93 (define @t198 () (= @t195 @t194)) % 1.72/1.93 (define @t199 () (or @t196 @t198)) % 1.72/1.93 (define @t200 () (tptp.select @t32 tptp.i_59)) % 1.72/1.93 (define @t201 () (tptp.select tptp.a_50 tptp.i_59)) % 1.72/1.93 (define @t202 () (= @t201 @t200)) % 1.72/1.93 (define @t203 () (and @t23 @t27 @t29 @t31 @t33 @t35 @t37 @t53 @t63 @t162 @t79 @t196 @t89 @t202 @t70)) % 1.72/1.93 (define @t204 () (not @t202)) % 1.72/1.93 (define @t205 () (not @t89)) % 1.72/1.93 (define @t206 () (not @t196)) % 1.72/1.93 (define @t207 () (tptp.select @t24 tptp.i_59)) % 1.72/1.93 (define @t208 () (tptp.select tptp.a_42 tptp.i_59)) % 1.72/1.93 (define @t209 () (= tptp.i4 tptp.i_59)) % 1.72/1.93 (define @t210 () (or @t209 (= @t207 @t208))) % 1.72/1.93 (define @t211 () (= @t208 @t207)) % 1.72/1.93 (define @t212 () (or @t209 @t211)) % 1.72/1.93 (define @t213 () (tptp.select @t22 tptp.i4)) % 1.72/1.93 (define @t214 () (= tptp.e_43 @t213)) % 1.72/1.93 (define @t215 () (tptp.select @t28 tptp.i_59)) % 1.72/1.93 (define @t216 () (tptp.select tptp.a_46 tptp.i_59)) % 1.72/1.93 (define @t217 () (= @t216 @t215)) % 1.72/1.93 (define @t218 () (tptp.select @t20 tptp.i4)) % 1.72/1.93 (define @t219 () (and @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t49 @t63 @t214 @t79 @t209 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t220 () (not @t217)) % 1.72/1.93 (define @t221 () (not @t198)) % 1.72/1.93 (define @t222 () (not @t209)) % 1.72/1.93 (define @t223 () (not @t214)) % 1.72/1.93 (define @t224 () (not @t49)) % 1.72/1.93 (define @t225 () (not @t21)) % 1.72/1.93 (define @t226 () (@list false false false false false false false false false false false false false false)) % 1.72/1.93 (define @t227 () (tptp.select @t24 tptp.i1)) % 1.72/1.93 (define @t228 () (tptp.select tptp.a_42 tptp.i1)) % 1.72/1.93 (define @t229 () (or @t107 (= @t227 @t228))) % 1.72/1.93 (define @t230 () (= @t228 @t227)) % 1.72/1.93 (define @t231 () (or @t110 @t230)) % 1.72/1.93 (define @t232 () (and @t19 @t21 @t23 @t25 @t49 @t51 @t214 @t187 @t110 @t109)) % 1.72/1.93 (define @t233 () (tptp.select @t18 tptp.i1)) % 1.72/1.93 (define @t234 () (tptp.select tptp.a_36 tptp.i1)) % 1.72/1.93 (define @t235 () (= tptp.i3 tptp.i1)) % 1.72/1.93 (define @t236 () (or @t235 (= @t233 @t234))) % 1.72/1.93 (define @t237 () (= @t234 @t233)) % 1.72/1.93 (define @t238 () (= tptp.i1 tptp.i3)) % 1.72/1.93 (define @t239 () (or @t238 @t237)) % 1.72/1.93 (define @t240 () (tptp.select @t20 tptp.i3)) % 1.72/1.93 (define @t241 () (= tptp.e_41 @t240)) % 1.72/1.93 (define @t242 () (tptp.select @t14 tptp.i3)) % 1.72/1.93 (define @t243 () (tptp.select @t14 tptp.i1)) % 1.72/1.93 (define @t244 () (and @t15 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t48 @t63 @t241 @t238 @t122 @t109 @t230 @t158 @t174 @t134 @t143 @t116)) % 1.72/1.93 (define @t245 () (not @t230)) % 1.72/1.93 (define @t246 () (tptp.select @t20 tptp.i1)) % 1.72/1.93 (define @t247 () (tptp.select tptp.a_38 tptp.i1)) % 1.72/1.93 (define @t248 () (or @t235 (= @t246 @t247))) % 1.72/1.93 (define @t249 () (= @t247 @t246)) % 1.72/1.93 (define @t250 () (or @t238 @t249)) % 1.72/1.93 (define @t251 () (tptp.select @t18 tptp.i3)) % 1.72/1.93 (define @t252 () (= tptp.e_39 @t251)) % 1.72/1.93 (define @t253 () (tptp.select @t16 tptp.i3)) % 1.72/1.93 (define @t254 () (and @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t47 @t63 @t252 @t238 @t122 @t109 @t230 @t158 @t174 @t134 @t143 @t116)) % 1.72/1.93 (define @t255 () (tptp.store tptp.a_34 tptp.i_59 tptp.e_31)) % 1.72/1.93 (define @t256 () (tptp.select @t255 tptp.i1)) % 1.72/1.93 (define @t257 () (tptp.select tptp.a_34 tptp.i1)) % 1.72/1.93 (define @t258 () (= @t257 @t256)) % 1.72/1.93 (define @t259 () (not @t258)) % 1.72/1.93 (define @t260 () (tptp.select @t255 tptp.i_59)) % 1.72/1.93 (define @t261 () (= tptp.e_31 @t260)) % 1.72/1.93 (define @t262 () (not @t261)) % 1.72/1.93 (define @t263 () (= tptp.i1 tptp.i_59)) % 1.72/1.93 (define @t264 () (not @t263)) % 1.72/1.93 (define @t265 () (tptp.select @t12 tptp.i1)) % 1.72/1.93 (define @t266 () (= tptp.e_33 @t265)) % 1.72/1.93 (define @t267 () (not @t266)) % 1.72/1.93 (define @t268 () (not @t62)) % 1.72/1.93 (define @t269 () (not @t60)) % 1.72/1.93 (define @t270 () (not @t41)) % 1.72/1.93 (define @t271 () (not @t39)) % 1.72/1.93 (define @t272 () (not @t13)) % 1.72/1.93 (define @t273 () (and @t13 @t39 @t41 @t60 @t62 @t65 @t266 @t263 @t261)) % 1.72/1.93 (define @t274 () (forall @t6 (= @t1 @t5))) % 1.72/1.93 (define @t275 () (tptp.select tptp.a_32 tptp.i1)) % 1.72/1.93 (define @t276 () (= tptp.i2 tptp.i1)) % 1.72/1.93 (define @t277 () (or @t276 (= @t243 @t275))) % 1.72/1.93 (define @t278 () (= @t275 @t243)) % 1.72/1.93 (define @t279 () (= tptp.i1 tptp.i2)) % 1.72/1.93 (define @t280 () (or @t279 @t278)) % 1.72/1.93 (define @t281 () (tptp.select @t16 tptp.i1)) % 1.72/1.93 (define @t282 () (or @t276 (= @t281 @t257))) % 1.72/1.93 (define @t283 () (= @t257 @t281)) % 1.72/1.93 (define @t284 () (or @t279 @t283)) % 1.72/1.93 (define @t285 () (tptp.store tptp.a_38 tptp.i1 tptp.e_31)) % 1.72/1.93 (define @t286 () (= tptp.e_31 (tptp.select @t285 tptp.i1))) % 1.72/1.93 (define @t287 () (tptp.select tptp.a_38 tptp.i_59)) % 1.72/1.93 (define @t288 () (tptp.select @t285 tptp.i_59)) % 1.72/1.93 (define @t289 () (= @t288 @t287)) % 1.72/1.93 (define @t290 () (and @t17 @t263 @t286 @t261 @t289 @t283)) % 1.72/1.93 (define @t291 () (not @t283)) % 1.72/1.93 (define @t292 () (not @t286)) % 1.72/1.93 (define @t293 () (not @t17)) % 1.72/1.93 (define @t294 () (tptp.select @t10 tptp.i1)) % 1.72/1.93 (define @t295 () (= tptp.e_31 @t294)) % 1.72/1.93 (define @t296 () (and @t11 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t63 @t295 @t263 @t278 @t286 @t79 @t109 @t230 @t158 @t174 @t134 @t143 @t116 @t249 @t237)) % 1.72/1.93 (define @t297 () (not @t237)) % 1.72/1.93 (define @t298 () (not @t249)) % 1.72/1.93 (define @t299 () (not @t278)) % 1.72/1.93 (define @t300 () (not @t295)) % 1.72/1.93 (define @t301 () (not @t15)) % 1.72/1.93 (define @t302 () (not @t11)) % 1.72/1.93 (define @t303 () (tptp.store tptp.a1 tptp.i_59 tptp.e_31)) % 1.72/1.93 (define @t304 () (tptp.select @t16 tptp.i2)) % 1.72/1.93 (define @t305 () (= tptp.e_37 @t304)) % 1.72/1.93 (define @t306 () (tptp.store @t303 tptp.i2 tptp.e_35)) % 1.72/1.93 (define @t307 () (tptp.select @t306 tptp.i2)) % 1.72/1.93 (define @t308 () (= tptp.e_35 @t307)) % 1.72/1.93 (define @t309 () (tptp.select @t10 tptp.i_59)) % 1.72/1.93 (define @t310 () (tptp.select tptp.a_38 tptp.i2)) % 1.72/1.93 (define @t311 () (tptp.select @t14 tptp.i_59)) % 1.72/1.93 (define @t312 () (tptp.select @t12 tptp.i2)) % 1.72/1.93 (define @t313 () (tptp.select tptp.a_34 tptp.i_59)) % 1.72/1.93 (define @t314 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t43 @t45 @t63 @t295 @t305 @t279 @t263 @t261 @t308 @t79 @t109 @t230 @t158 @t174 @t134 @t143 @t116 @t249 @t237)) % 1.72/1.93 (define @t315 () (not @t279)) % 1.72/1.93 (define @t316 () (not @t305)) % 1.72/1.93 (define @t317 () (not @t45)) % 1.72/1.93 (define @t318 () (not @t43)) % 1.72/1.93 (define @t319 () (tptp.store tptp.a_32 tptp.i1 tptp.e_35)) % 1.72/1.93 (define @t320 () (tptp.select @t319 tptp.i_59)) % 1.72/1.93 (define @t321 () (tptp.select tptp.a_32 tptp.i_59)) % 1.72/1.93 (define @t322 () (or @t263 (= @t320 @t321))) % 1.72/1.93 (define @t323 () (= @t321 @t320)) % 1.72/1.93 (define @t324 () (or @t263 @t323)) % 1.72/1.93 (define @t325 () (tptp.store tptp.a2 tptp.i1 tptp.e_31)) % 1.72/1.93 (define @t326 () (tptp.select @t325 tptp.i_59)) % 1.72/1.93 (define @t327 () (or @t263 (= @t326 @t61))) % 1.72/1.93 (define @t328 () (= @t61 @t326)) % 1.72/1.93 (define @t329 () (or @t263 @t328)) % 1.72/1.93 (define @t330 () (or @t263 (= @t309 @t59))) % 1.72/1.93 (define @t331 () (= @t59 @t309)) % 1.72/1.93 (define @t332 () (or @t263 @t331)) % 1.72/1.93 (define @t333 () (tptp.select (tptp.store tptp.a2 tptp.i1 tptp.e_35) tptp.i_59)) % 1.72/1.93 (define @t334 () (or @t263 (= @t333 @t61))) % 1.72/1.93 (define @t335 () (= @t61 @t333)) % 1.72/1.93 (define @t336 () (or @t263 @t335)) % 1.72/1.93 (define @t337 () (= (tptp.select (tptp.store tptp.a_34 tptp.i1 tptp.e_31) tptp.i_59) @t313)) % 1.72/1.93 (define @t338 () (or @t263 @t337)) % 1.72/1.93 (define @t339 () (tptp.select @t22 tptp.i_59)) % 1.72/1.93 (define @t340 () (tptp.select tptp.a_40 tptp.i_59)) % 1.72/1.93 (define @t341 () (or @t209 (= @t339 @t340))) % 1.72/1.93 (define @t342 () (= @t340 @t339)) % 1.72/1.93 (define @t343 () (or @t209 @t342)) % 1.72/1.93 (define @t344 () (and @t19 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t51 @t63 @t187 @t79 @t209 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t345 () (tptp.select @t20 tptp.i_59)) % 1.72/1.93 (define @t346 () (= tptp.i3 tptp.i_59)) % 1.72/1.93 (define @t347 () (or @t346 (= @t345 @t287))) % 1.72/1.93 (define @t348 () (= @t287 @t345)) % 1.72/1.93 (define @t349 () (or @t346 @t348)) % 1.72/1.93 (define @t350 () (and @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t47 @t63 @t252 @t79 @t346 @t342 @t211 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t351 () (not @t211)) % 1.72/1.93 (define @t352 () (not @t342)) % 1.72/1.93 (define @t353 () (not @t346)) % 1.72/1.93 (define @t354 () (not @t252)) % 1.72/1.93 (define @t355 () (not @t47)) % 1.72/1.93 (define @t356 () (@list false false false false false false false false false false false false false false false false false)) % 1.72/1.93 (define @t357 () (tptp.select @t18 tptp.i_59)) % 1.72/1.93 (define @t358 () (tptp.select tptp.a_36 tptp.i_59)) % 1.72/1.93 (define @t359 () (or @t346 (= @t357 @t358))) % 1.72/1.93 (define @t360 () (= @t358 @t357)) % 1.72/1.93 (define @t361 () (or @t346 @t360)) % 1.72/1.93 (define @t362 () (and @t15 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t48 @t63 @t241 @t79 @t346 @t342 @t211 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t363 () (not @t241)) % 1.72/1.93 (define @t364 () (not @t48)) % 1.72/1.93 (define @t365 () (tptp.store tptp.a2 tptp.i2 tptp.e_35)) % 1.72/1.93 (define @t366 () (tptp.store tptp.a2 tptp.i2 tptp.e_33)) % 1.72/1.93 (define @t367 () (tptp.store tptp.a_34 tptp.i2 tptp.e_31)) % 1.72/1.93 (define @t368 () (tptp.select @t10 tptp.i2)) % 1.72/1.93 (define @t369 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t43 @t45 @t60 @t62 @t63 @t295 @t266 @t279 @t331 @t323 @t335 @t337 @t79 @t360 @t348 @t342 @t211 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t370 () (not @t348)) % 1.72/1.93 (define @t371 () (not @t360)) % 1.72/1.93 (define @t372 () (not @t337)) % 1.72/1.93 (define @t373 () (not @t335)) % 1.72/1.93 (define @t374 () (not @t323)) % 1.72/1.93 (define @t375 () (not @t331)) % 1.72/1.93 (define @t376 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t43 @t45 @t47 @t48 @t60 @t62 @t63 @t295 @t266 @t252 @t241 @t279 @t331 @t323 @t335 @t337 @t79 @t346 @t342 @t211 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t377 () (tptp.select @t319 tptp.i2)) % 1.72/1.93 (define @t378 () (or @t279 (= @t377 @t44))) % 1.72/1.93 (define @t379 () (= @t44 @t377)) % 1.72/1.93 (define @t380 () (or @t279 @t379)) % 1.72/1.93 (define @t381 () (= tptp.i2 tptp.i_59)) % 1.72/1.93 (define @t382 () (or @t381 (= @t311 @t321))) % 1.72/1.93 (define @t383 () (= @t321 @t311)) % 1.72/1.93 (define @t384 () (or @t381 @t383)) % 1.72/1.93 (define @t385 () (tptp.select @t16 tptp.i_59)) % 1.72/1.93 (define @t386 () (or @t381 (= @t385 @t313))) % 1.72/1.93 (define @t387 () (= @t313 @t385)) % 1.72/1.93 (define @t388 () (or @t381 @t387)) % 1.72/1.93 (define @t389 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t60 @t62 @t63 @t295 @t266 @t331 @t278 @t122 @t328 @t383 @t79 @t109 @t230 @t158 @t174 @t134 @t143 @t116 @t283 @t249 @t237 @t360 @t348 @t342 @t211 @t198 @t217 @t89 @t202 @t70 @t387)) % 1.72/1.93 (define @t390 () (not @t328)) % 1.72/1.93 (define @t391 () (= tptp.e_35 (tptp.select @t14 tptp.i2))) % 1.72/1.93 (define @t392 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t43 @t45 @t60 @t62 @t63 @t295 @t391 @t266 @t305 @t379 @t331 @t278 @t122 @t323 @t328 @t381 @t79 @t109 @t230 @t158 @t174 @t134 @t143 @t116 @t283 @t249 @t237 @t360 @t348 @t342 @t211 @t198 @t217 @t89 @t202 @t70)) % 1.72/1.93 (define @t393 () (not @t379)) % 1.72/1.93 (define @t394 () (or @t196 (= @t215 @t216))) % 1.72/1.93 (define @t395 () (or @t196 @t217)) % 1.72/1.93 (define @t396 () (and @t25 @t27 @t29 @t31 @t33 @t35 @t37 @t52 @t63 @t177 @t79 @t196 @t89 @t202 @t70)) % 1.72/1.93 (define @t397 () (or @t87 (= @t200 @t201))) % 1.72/1.93 (define @t398 () (or @t87 @t202)) % 1.72/1.93 (define @t399 () (and @t29 @t31 @t33 @t35 @t37 @t54 @t63 @t146 @t79 @t87 @t70)) % 1.72/1.93 (define @t400 () (or @t68 @t79)) % 1.72/1.93 (define @t401 () (and @t33 @t35 @t37 @t57 @t63 @t74 @t68)) % 1.72/1.93 (assume @p1 @t7) % 1.72/1.93 (assume @p2 @t9) % 1.72/1.93 (assume @p3 @t11) % 1.72/1.93 (assume @p4 @t13) % 1.72/1.93 (assume @p5 @t15) % 1.72/1.93 (assume @p6 @t17) % 1.72/1.93 (assume @p7 @t19) % 1.72/1.93 (assume @p8 @t21) % 1.72/1.93 (assume @p9 @t23) % 1.72/1.93 (assume @p10 @t25) % 1.72/1.93 (assume @p11 @t27) % 1.72/1.93 (assume @p12 @t29) % 1.72/1.93 (assume @p13 @t31) % 1.72/1.93 (assume @p14 @t33) % 1.72/1.93 (assume @p15 @t35) % 1.72/1.93 (assume @p16 @t37) % 1.72/1.93 (assume @p17 @t39) % 1.72/1.93 (assume @p18 @t41) % 1.72/1.93 (assume @p19 @t43) % 1.72/1.93 (assume @p20 @t45) % 1.72/1.93 (assume @p21 @t47) % 1.72/1.93 (assume @p22 @t48) % 1.72/1.93 (assume @p23 @t49) % 1.72/1.93 (assume @p24 @t51) % 1.72/1.93 (assume @p25 @t52) % 1.72/1.93 (assume @p26 @t53) % 1.72/1.93 (assume @p27 @t54) % 1.72/1.93 (assume @p28 @t55) % 1.72/1.93 (assume @p29 @t57) % 1.72/1.93 (assume @p30 @t58) % 1.72/1.93 (assume @p31 @t60) % 1.72/1.93 (assume @p32 @t62) % 1.72/1.93 (assume @p33 (= tptp.i_59 (tptp.sk tptp.a1 tptp.a2))) % 1.72/1.93 (assume @p34 @t63) % 1.72/1.93 (assume @p35 @t65) % 1.72/1.93 (step @p36 :rule eq-symm :args (@t5 @t1)) % 1.72/1.93 (step @p37 :rule cong :premises (@p36) :args (@t7)) % 1.72/1.93 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 1.72/1.93 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.a_52 tptp.i7 tptp.e_55))) % 1.72/1.93 (step @p40 :rule eq-symm :args (@t66 @t67)) % 1.72/1.93 (step @p41 :rule refl :args (@t68)) % 1.72/1.93 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t69)) % 1.72/1.93 (step @p43 :rule refl :args (@t9)) % 1.72/1.93 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t9 @t69))) % 1.72/1.93 (assume-push @p3269 @t9) % 1.72/1.93 (step @p46 :rule instantiate :premises (@p2) :args ((@list tptp.i7 tptp.i_59 tptp.a_52 tptp.e_55))) % 1.72/1.93 (step-pop @p3270 :rule scope :premises (@p46)) % 1.72/1.93 (step @p47 :rule process_scope :premises (@p3270) :args (@t69)) % 1.72/1.93 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 1.72/1.93 (step @p50 :rule implies_elim :premises (@p49)) % 1.72/1.93 (step @p51 :rule chain_m_resolution :premises (@p50 @p2) :args (@t71 @t72 @t73)) % 1.72/1.93 (step @p52 :rule cnf_or_pos :args (@t71)) % 1.72/1.93 (step @p53 :rule reordering :premises (@p52) :args ((or @t68 @t70 (not @t71)))) % 1.72/1.93 (step @p54 :rule instantiate :premises (@p38) :args ((@list tptp.a_54 tptp.i7 tptp.e_57))) % 1.72/1.93 (assume-push @p3271 @t31) % 1.72/1.93 (assume-push @p3272 @t33) % 1.72/1.93 (assume-push @p3273 @t35) % 1.72/1.93 (assume-push @p3274 @t37) % 1.72/1.93 (assume-push @p3275 @t57) % 1.72/1.93 (assume-push @p3276 @t58) % 1.72/1.93 (assume-push @p3277 @t63) % 1.72/1.93 (assume-push @p3278 @t74) % 1.72/1.93 (assume-push @p3279 @t76) % 1.72/1.93 (assume-push @p3280 @t68) % 1.72/1.93 (assume-push @p3281 @t79) % 1.72/1.93 (assume-push @p3282 @t35) % 1.72/1.93 (assume-push @p3283 @t63) % 1.72/1.93 (assume-push @p3284 @t37) % 1.72/1.93 (assume-push @p3285 @t79) % 1.72/1.93 (assume-push @p3286 @t33) % 1.72/1.93 (assume-push @p3287 @t68) % 1.72/1.93 (assume-push @p3288 @t57) % 1.72/1.93 (assume-push @p3289 @t74) % 1.72/1.93 (assume-push @p3290 @t76) % 1.72/1.93 (assume-push @p3291 @t58) % 1.72/1.93 (assume-push @p3292 @t31) % 1.72/1.93 (step @p77 :rule refl :args (tptp.i_59)) % 1.72/1.93 (step @p78 :rule symm :premises (@p34)) % 1.72/1.93 (step @p79 :rule symm :premises (@p16)) % 1.72/1.93 (step @p80 :rule trans :premises (@p79 @p78 @p15)) % 1.72/1.93 (step @p81 :rule cong :premises (@p80 @p77) :args (@t78)) % 1.72/1.93 (step @p82 :rule symm :premises (@p3281)) % 1.72/1.93 (step @p83 :rule symm :premises (@p14)) % 1.72/1.93 (step @p84 :rule cong :premises (@p83 @p3280) :args (@t80)) % 1.72/1.93 (step @p85 :rule refl :args (tptp.i7)) % 1.72/1.93 (step @p86 :rule cong :premises (@p14 @p85) :args (@t56)) % 1.72/1.93 (step @p87 :rule symm :premises (@p39)) % 1.72/1.93 (step @p88 :rule cong :premises (@p80 @p85) :args (@t75)) % 1.72/1.93 (step @p89 :rule symm :premises (@p30)) % 1.72/1.93 (step @p90 :rule symm :premises (@p13)) % 1.72/1.93 (step @p91 :rule cong :premises (@p90 @p85) :args (@t81)) % 1.72/1.93 (step @p92 :rule symm :premises (@p3280)) % 1.72/1.93 (step @p93 :rule cong :premises (@p13 @p92) :args (@t67)) % 1.72/1.93 (step @p94 :rule trans :premises (@p93 @p91 @p89 @p54 @p88 @p87 @p29 @p86 @p84 @p82 @p81)) % 1.72/1.93 (step-pop @p3293 :rule scope :premises (@p94)) % 1.72/1.93 (step-pop @p3294 :rule scope :premises (@p3293)) % 1.72/1.93 (step-pop @p3295 :rule scope :premises (@p3294)) % 1.72/1.93 (step-pop @p3296 :rule scope :premises (@p3295)) % 1.72/1.93 (step-pop @p3297 :rule scope :premises (@p3296)) % 1.72/1.93 (step-pop @p3298 :rule scope :premises (@p3297)) % 1.72/1.93 (step-pop @p3299 :rule scope :premises (@p3298)) % 1.72/1.93 (step-pop @p3300 :rule scope :premises (@p3299)) % 1.72/1.93 (step-pop @p3301 :rule scope :premises (@p3300)) % 1.72/1.93 (step-pop @p3302 :rule scope :premises (@p3301)) % 1.72/1.93 (step-pop @p3303 :rule scope :premises (@p3302)) % 1.72/1.93 (step @p95 :rule process_scope :premises (@p3303) :args (@t70)) % 1.72/1.93 (step @p107 :rule and_intro :premises (@p15 @p34 @p16 @p3281 @p14 @p3280 @p29 @p39 @p54 @p30 @p13)) % 1.72/1.93 (step @p108 :rule modus_ponens :premises (@p107 @p95)) % 1.72/1.93 (step-pop @p3304 :rule scope :premises (@p108)) % 1.72/1.93 (step-pop @p3305 :rule scope :premises (@p3304)) % 1.72/1.93 (step-pop @p3306 :rule scope :premises (@p3305)) % 1.72/1.93 (step-pop @p3307 :rule scope :premises (@p3306)) % 1.72/1.93 (step-pop @p3308 :rule scope :premises (@p3307)) % 1.72/1.93 (step-pop @p3309 :rule scope :premises (@p3308)) % 1.72/1.93 (step-pop @p3310 :rule scope :premises (@p3309)) % 1.72/1.93 (step-pop @p3311 :rule scope :premises (@p3310)) % 1.72/1.93 (step-pop @p3312 :rule scope :premises (@p3311)) % 1.72/1.93 (step-pop @p3313 :rule scope :premises (@p3312)) % 1.72/1.93 (step-pop @p3314 :rule scope :premises (@p3313)) % 1.72/1.93 (step @p109 :rule process_scope :premises (@p3314) :args (@t70)) % 1.72/1.93 (step @p121 :rule implies_elim :premises (@p109)) % 1.72/1.93 (step @p122 :rule cnf_and_neg :args (@t82)) % 1.72/1.93 (step @p123 :rule resolution :premises (@p122 @p121) :args (true @t82)) % 1.72/1.93 (step @p124 :rule chain_m_resolution :premises (@p123 @p54 @p39 @p34 @p30 @p29 @p16 @p15 @p14 @p13 @p53 @p51) :args ((or @t83 @t70) @t84 (@list @t76 @t74 @t63 @t58 @t57 @t37 @t35 @t33 @t31 @t68 @t71))) % 1.72/1.93 (step @p125 :rule eq-symm :args (@t85 @t86)) % 1.72/1.93 (step @p126 :rule refl :args (@t87)) % 1.72/1.93 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t88)) % 1.72/1.93 (step @p128 :rule cong :premises (@p43 @p127) :args ((=> @t9 @t88))) % 1.72/1.93 (assume-push @p3315 @t9) % 1.72/1.93 (step @p130 :rule instantiate :premises (@p2) :args ((@list tptp.i6 tptp.i_59 tptp.a_48 tptp.e_51))) % 1.72/1.93 (step-pop @p3316 :rule scope :premises (@p130)) % 1.72/1.93 (step @p131 :rule process_scope :premises (@p3316) :args (@t88)) % 1.72/1.93 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 1.72/1.93 (step @p134 :rule implies_elim :premises (@p133)) % 1.72/1.93 (step @p135 :rule chain_m_resolution :premises (@p134 @p2) :args (@t90 @t72 @t73)) % 1.72/1.93 (step @p136 :rule cnf_or_pos :args (@t90)) % 1.72/1.93 (step @p137 :rule reordering :premises (@p136) :args ((or @t87 @t89 (not @t90)))) % 1.72/1.93 (step @p138 :rule instantiate :premises (@p38) :args ((@list tptp.a_50 tptp.i6 tptp.e_53))) % 1.72/1.93 (assume-push @p3317 @t27) % 1.72/1.93 (assume-push @p3318 @t31) % 1.72/1.93 (assume-push @p3319 @t33) % 1.72/1.93 (assume-push @p3320 @t35) % 1.72/1.93 (assume-push @p3321 @t37) % 1.72/1.93 (assume-push @p3322 @t55) % 1.72/1.93 (assume-push @p3323 @t63) % 1.72/1.93 (assume-push @p3324 @t92) % 1.72/1.93 (assume-push @p3325 @t79) % 1.72/1.93 (assume-push @p3326 @t87) % 1.72/1.93 (assume-push @p3327 @t70) % 1.72/1.93 (assume-push @p3328 @t31) % 1.72/1.93 (assume-push @p3329 @t70) % 1.72/1.93 (assume-push @p3330 @t35) % 1.72/1.93 (assume-push @p3331 @t63) % 1.72/1.93 (assume-push @p3332 @t37) % 1.72/1.93 (assume-push @p3333 @t79) % 1.72/1.93 (assume-push @p3334 @t33) % 1.72/1.93 (assume-push @p3335 @t87) % 1.72/1.93 (assume-push @p3336 @t92) % 1.72/1.93 (assume-push @p3337 @t55) % 1.72/1.93 (assume-push @p3338 @t27) % 1.72/1.93 (step @p77 :rule refl :args (tptp.i_59)) % 1.72/1.93 (step @p161 :rule cong :premises (@p13 @p77) :args (@t67)) % 1.72/1.93 (step @p162 :rule symm :premises (@p3327)) % 1.72/1.93 (step @p78 :rule symm :premises (@p34)) % 1.72/1.93 (step @p79 :rule symm :premises (@p16)) % 1.72/1.93 (step @p80 :rule trans :premises (@p79 @p78 @p15)) % 1.72/1.93 (step @p81 :rule cong :premises (@p80 @p77) :args (@t78)) % 1.72/1.93 (step @p163 :rule symm :premises (@p3325)) % 1.72/1.93 (step @p83 :rule symm :premises (@p14)) % 1.72/1.93 (step @p164 :rule cong :premises (@p83 @p3326) :args (@t91)) % 1.72/1.93 (step @p165 :rule symm :premises (@p28)) % 1.72/1.93 (step @p166 :rule refl :args (tptp.i6)) % 1.72/1.93 (step @p167 :rule symm :premises (@p11)) % 1.72/1.93 (step @p168 :rule cong :premises (@p167 @p166) :args (@t93)) % 1.72/1.93 (step @p169 :rule symm :premises (@p3326)) % 1.72/1.93 (step @p170 :rule cong :premises (@p11 @p169) :args (@t86)) % 1.72/1.93 (step @p171 :rule trans :premises (@p170 @p168 @p165 @p138 @p164 @p163 @p81 @p162 @p161)) % 1.72/1.93 (step-pop @p3339 :rule scope :premises (@p171)) % 1.72/1.93 (step-pop @p3340 :rule scope :premises (@p3339)) % 1.72/1.93 (step-pop @p3341 :rule scope :premises (@p3340)) % 1.72/1.93 (step-pop @p3342 :rule scope :premises (@p3341)) % 1.72/1.93 (step-pop @p3343 :rule scope :premises (@p3342)) % 1.72/1.93 (step-pop @p3344 :rule scope :premises (@p3343)) % 1.72/1.93 (step-pop @p3345 :rule scope :premises (@p3344)) % 1.72/1.93 (step-pop @p3346 :rule scope :premises (@p3345)) % 1.72/1.93 (step-pop @p3347 :rule scope :premises (@p3346)) % 1.72/1.93 (step-pop @p3348 :rule scope :premises (@p3347)) % 1.72/1.93 (step-pop @p3349 :rule scope :premises (@p3348)) % 1.72/1.93 (step @p172 :rule process_scope :premises (@p3349) :args (@t89)) % 1.72/1.93 (step @p184 :rule and_intro :premises (@p13 @p3327 @p15 @p34 @p16 @p3325 @p14 @p3326 @p138 @p28 @p11)) % 1.72/1.93 (step @p185 :rule modus_ponens :premises (@p184 @p172)) % 1.72/1.93 (step-pop @p3350 :rule scope :premises (@p185)) % 1.72/1.93 (step-pop @p3351 :rule scope :premises (@p3350)) % 1.72/1.93 (step-pop @p3352 :rule scope :premises (@p3351)) % 1.72/1.93 (step-pop @p3353 :rule scope :premises (@p3352)) % 1.72/1.93 (step-pop @p3354 :rule scope :premises (@p3353)) % 1.72/1.93 (step-pop @p3355 :rule scope :premises (@p3354)) % 1.72/1.93 (step-pop @p3356 :rule scope :premises (@p3355)) % 1.72/1.93 (step-pop @p3357 :rule scope :premises (@p3356)) % 1.72/1.93 (step-pop @p3358 :rule scope :premises (@p3357)) % 1.72/1.93 (step-pop @p3359 :rule scope :premises (@p3358)) % 1.72/1.93 (step-pop @p3360 :rule scope :premises (@p3359)) % 1.72/1.93 (step @p186 :rule process_scope :premises (@p3360) :args (@t89)) % 1.72/1.93 (step @p198 :rule implies_elim :premises (@p186)) % 1.72/1.93 (step @p199 :rule cnf_and_neg :args (@t94)) % 1.72/1.93 (step @p200 :rule resolution :premises (@p199 @p198) :args (true @t94)) % 1.72/1.93 (step @p201 :rule reordering :premises (@p200) :args ((or @t104 @t103 @t102 @t101 @t100 @t99 @t98 @t97 @t83 @t89 @t96 @t95))) % 1.72/1.93 (step @p202 :rule chain_m_resolution :premises (@p201 @p138 @p34 @p28 @p16 @p15 @p14 @p13 @p11 @p137 @p135 @p124) :args ((or @t83 @t89) @t84 (@list @t92 @t63 @t55 @t37 @t35 @t33 @t31 @t27 @t87 @t90 @t70))) % 1.72/1.93 (step @p203 :rule eq-symm :args (@t105 @t106)) % 1.72/1.93 (step @p204 :rule eq-symm :args (tptp.i4 tptp.i1)) % 1.72/1.93 (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t108)) % 1.72/1.93 (step @p206 :rule cong :premises (@p43 @p205) :args ((=> @t9 @t108))) % 1.72/1.93 (assume-push @p3361 @t9) % 1.72/1.93 (step @p208 :rule instantiate :premises (@p2) :args ((@list tptp.i4 tptp.i1 tptp.a_40 tptp.e_43))) % 1.72/1.93 (step-pop @p3362 :rule scope :premises (@p208)) % 1.72/1.93 (step @p209 :rule process_scope :premises (@p3362) :args (@t108)) % 1.72/1.93 (step @p211 :rule eq_resolve :premises (@p209 @p206)) % 1.72/1.93 (step @p212 :rule implies_elim :premises (@p211)) % 1.72/1.93 (step @p213 :rule chain_m_resolution :premises (@p212 @p2) :args (@t111 @t72 @t73)) % 1.72/1.93 (step @p214 :rule cnf_or_pos :args (@t111)) % 1.72/1.93 (step @p215 :rule reordering :premises (@p214) :args ((or @t110 @t109 (not @t111)))) % 1.72/1.93 (step @p216 :rule instantiate :premises (@p38) :args ((@list tptp.a_42 tptp.i4 tptp.e_45))) % 1.72/1.93 (step @p217 :rule eq-symm :args (@t112 @t113)) % 1.72/1.93 (step @p218 :rule eq-symm :args (tptp.i7 tptp.i1)) % 1.72/1.93 (step @p219 :rule nary_cong :premises (@p218 @p217) :args (@t115)) % 1.72/1.93 (step @p220 :rule cong :premises (@p43 @p219) :args ((=> @t9 @t115))) % 1.72/1.93 (assume-push @p3363 @t9) % 1.72/1.93 (step @p222 :rule 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(assume-push @p3375 @t117) % 1.72/1.93 (assume-push @p3376 @t76) % 1.72/1.93 (assume-push @p3377 @t58) % 1.72/1.93 (assume-push @p3378 @t31) % 1.72/1.93 (step @p244 :rule refl :args (tptp.i1)) % 1.72/1.93 (step @p78 :rule symm :premises (@p34)) % 1.72/1.93 (step @p79 :rule symm :premises (@p16)) % 1.72/1.93 (step @p80 :rule trans :premises (@p79 @p78 @p15)) % 1.72/1.93 (step @p245 :rule cong :premises (@p80 @p244) :args (@t119)) % 1.72/1.93 (step @p246 :rule symm :premises (@p3371)) % 1.72/1.93 (step @p247 :rule refl :args (@t36)) % 1.72/1.93 (step @p248 :rule cong :premises (@p247 @p246) :args (@t75)) % 1.72/1.93 (step @p89 :rule symm :premises (@p30)) % 1.72/1.93 (step @p85 :rule refl :args (tptp.i7)) % 1.72/1.93 (step @p90 :rule symm :premises (@p13)) % 1.72/1.93 (step @p91 :rule cong :premises (@p90 @p85) :args (@t81)) % 1.72/1.93 (step @p249 :rule cong :premises (@p13 @p3371) :args (@t113)) % 1.72/1.93 (step @p250 :rule trans :premises (@p249 @p91 @p89 @p54 @p248 @p245)) % 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@t45) % 1.72/1.94 (assume-push @p5247 @t379) % 1.72/1.94 (assume-push @p5248 @t323) % 1.72/1.94 (assume-push @p5249 @t331) % 1.72/1.94 (assume-push @p5250 @t60) % 1.72/1.94 (step @p1354 :rule symm :premises (@p32)) % 1.72/1.94 (step @p2923 :rule symm :premises (@p5179)) % 1.72/1.94 (step @p77 :rule refl :args (tptp.i_59)) % 1.72/1.94 (step @p1678 :rule symm :premises (@p1471)) % 1.72/1.94 (step @p244 :rule refl :args (tptp.i1)) % 1.72/1.94 (step @p1679 :rule cong :premises (@p3 @p244) :args (@t275)) % 1.72/1.94 (step @p2924 :rule symm :premises (@p5176)) % 1.72/1.94 (step @p1138 :rule cong :premises (@p5 @p244) :args (@t234)) % 1.72/1.94 (step @p2925 :rule symm :premises (@p5191)) % 1.72/1.94 (step @p1123 :rule cong :premises (@p7 @p244) :args (@t106)) % 1.72/1.94 (step @p2926 :rule symm :premises (@p5182)) % 1.72/1.94 (step @p719 :rule cong :premises (@p9 @p244) :args (@t155)) % 1.72/1.94 (step @p2927 :rule symm :premises (@p5184)) % 1.72/1.94 (step @p534 :rule cong :premises (@p11 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1.72/1.94 (step-pop @p5448 :rule scope :premises (@p3206)) % 1.72/1.94 (step-pop @p5449 :rule scope :premises (@p5448)) % 1.72/1.94 (step-pop @p5450 :rule scope :premises (@p5449)) % 1.72/1.94 (step-pop @p5451 :rule scope :premises (@p5450)) % 1.72/1.94 (step-pop @p5452 :rule scope :premises (@p5451)) % 1.72/1.94 (step-pop @p5453 :rule scope :premises (@p5452)) % 1.72/1.94 (step-pop @p5454 :rule scope :premises (@p5453)) % 1.72/1.94 (step-pop @p5455 :rule scope :premises (@p5454)) % 1.72/1.94 (step-pop @p5456 :rule scope :premises (@p5455)) % 1.72/1.94 (step-pop @p5457 :rule scope :premises (@p5456)) % 1.72/1.94 (step-pop @p5458 :rule scope :premises (@p5457)) % 1.72/1.94 (step @p3207 :rule process_scope :premises (@p5458) :args (@t202)) % 1.72/1.94 (step @p3219 :rule implies_elim :premises (@p3207)) % 1.72/1.94 (step @p3220 :rule cnf_and_neg :args (@t399)) % 1.72/1.94 (step @p3221 :rule resolution :premises (@p3220 @p3219) :args (true @t399)) % 1.72/1.94 (step @p3222 :rule reordering :premises (@p3221) :args ((or @t152 @t103 @t102 @t101 @t100 @t151 @t98 @t150 @t83 @t202 @t96 @t95))) % 1.72/1.94 (step @p3223 :rule chain_m_resolution :premises (@p3222 @p428 @p34 @p27 @p16 @p15 @p14 @p13 @p12 @p3166 @p3164 @p3154 @p415 @p784 @p202 @p124) :args (@t83 (@list false false false false false false false false false false true false false false false) (@list @t146 @t63 @t54 @t37 @t35 @t33 @t31 @t29 @t87 @t398 @t202 @t134 @t109 @t89 @t70))) % 1.72/1.94 (step @p3224 :rule instantiate :premises (@p2) :args ((@list tptp.i7 tptp.i_59 tptp.a_54 tptp.e_57))) % 1.72/1.94 (step @p3225 :rule cnf_or_pos :args (@t400)) % 1.72/1.94 (step @p3226 :rule reordering :premises (@p3225) :args ((or @t68 @t79 (not @t400)))) % 1.72/1.94 (step @p3227 :rule chain_m_resolution :premises (@p3226 @p3223 @p3224) :args (@t68 (@list true false) (@list @t79 @t400))) % 1.72/1.94 (assume-push @p5459 @t33) % 1.72/1.94 (assume-push @p5460 @t35) % 1.72/1.94 (assume-push @p5461 @t37) % 1.72/1.94 (assume-push @p5462 @t57) % 1.72/1.94 (assume-push @p5463 @t63) % 1.72/1.94 (assume-push @p5464 @t74) % 1.72/1.94 (assume-push @p5465 @t68) % 1.72/1.94 (assume-push @p5466 @t33) % 1.72/1.94 (assume-push @p5467 @t68) % 1.72/1.94 (assume-push @p5468 @t57) % 1.72/1.94 (assume-push @p5469 @t74) % 1.72/1.94 (assume-push @p5470 @t35) % 1.72/1.94 (assume-push @p5471 @t63) % 1.72/1.94 (assume-push @p5472 @t37) % 1.72/1.94 (step @p83 :rule symm :premises (@p14)) % 1.72/1.94 (step @p3242 :rule cong :premises (@p83 @p5465) :args (@t80)) % 1.72/1.94 (step @p85 :rule refl :args (tptp.i7)) % 1.72/1.94 (step @p86 :rule cong :premises (@p14 @p85) :args (@t56)) % 1.72/1.94 (step @p87 :rule symm :premises (@p39)) % 1.72/1.94 (step @p78 :rule symm :premises (@p34)) % 1.72/1.94 (step @p79 :rule symm :premises (@p16)) % 1.72/1.94 (step @p80 :rule trans :premises (@p79 @p78 @p15)) % 1.72/1.94 (step @p88 :rule cong :premises (@p80 @p85) :args (@t75)) % 1.72/1.94 (step @p3243 :rule symm :premises (@p5465)) % 1.72/1.94 (step @p247 :rule refl :args (@t36)) % 1.72/1.94 (step @p3244 :rule cong :premises (@p247 @p3243) :args (@t78)) % 1.72/1.94 (step @p3245 :rule trans :premises (@p3244 @p88 @p87 @p29 @p86 @p3242)) % 1.72/1.94 (step-pop @p5473 :rule scope :premises (@p3245)) % 1.72/1.94 (step-pop @p5474 :rule scope :premises (@p5473)) % 1.72/1.94 (step-pop @p5475 :rule scope :premises (@p5474)) % 1.72/1.94 (step-pop @p5476 :rule scope :premises (@p5475)) % 1.72/1.94 (step-pop @p5477 :rule scope :premises (@p5476)) % 1.72/1.94 (step-pop @p5478 :rule scope :premises (@p5477)) % 1.72/1.94 (step-pop @p5479 :rule scope :premises (@p5478)) % 1.72/1.94 (step @p3246 :rule process_scope :premises (@p5479) :args (@t79)) % 1.72/1.94 (step @p3254 :rule and_intro :premises (@p14 @p5465 @p29 @p39 @p15 @p34 @p16)) % 1.72/1.94 (step @p3255 :rule modus_ponens :premises (@p3254 @p3246)) % 1.72/1.94 (step-pop @p5480 :rule scope :premises (@p3255)) % 1.72/1.94 (step-pop @p5481 :rule scope :premises (@p5480)) % 1.72/1.94 (step-pop @p5482 :rule scope :premises (@p5481)) % 1.72/1.94 (step-pop @p5483 :rule scope :premises (@p5482)) % 1.72/1.94 (step-pop @p5484 :rule scope :premises (@p5483)) % 1.72/1.94 (step-pop @p5485 :rule scope :premises (@p5484)) % 1.72/1.94 (step-pop @p5486 :rule scope :premises (@p5485)) % 1.72/1.94 (step @p3256 :rule process_scope :premises (@p5486) :args (@t79)) % 1.72/1.94 (step @p3264 :rule implies_elim :premises (@p3256)) % 1.72/1.94 (step @p3265 :rule cnf_and_neg :args (@t401)) % 1.72/1.94 (step @p3266 :rule resolution :premises (@p3265 @p3264) :args (true @t401)) % 1.72/1.94 (step @p3267 :rule reordering :premises (@p3266) :args ((or @t102 @t101 @t100 @t128 @t98 @t127 @t79 (not @t68)))) % 1.72/1.94 (step @p3268 false :rule chain_m_resolution :premises (@p3267 @p3227 @p3223 @p39 @p34 @p29 @p16 @p15 @p14) :args (false (@list false true false false false false false false) (@list @t68 @t79 @t74 @t63 @t57 @t37 @t35 @t33))) % 1.72/1.94 ) % 1.72/1.94 % SZS output end Proof % 1.72/1.94 % cvc5 exiting %------------------------------------------------------------------------------